Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/272,6802/900
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 751,6802
Greatest Common Factor of Numerators i.e. GCF of 751,6802 is 1 .
LCM of Denominators means LCM of 272,900 as per the given fractions.
LCM of 272,900 is 61200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 751,6802
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 6802
List of positive integer factors of 6802 that divides 6802 without a remainder.
1,2,19,38,179,358,3401,6802
Greatest Common Factor
We found the factors 751,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 751,6802 is 1.
Lets's calculate LCM of 272,900
2 | 272, 900 |
2 | 136, 450 |
68, 225 |
∴ So the LCM of the given numbers is 2 x 2 x 68 x 225 = 61200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61200
Therefore, the GCF of Fractions 751/272,6802/900 is 1/61200
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 272,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(272,900) x common factors =4 x 1 = 4
LCM(272,900) = ( 272 × 900 ) / 4
LCM(272,900) = 244800 / 4
LCM(272,900) = 61200
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 751/272, 6802/900?
Answer: GCF of Numerators as per given numbers 751/272, 6802/900 is
GCF of Numerators i.e. for 751,6802 is 1
LCM of denominators i.e. for 272,900 is 61200.
Thus, GCF of Fractions is 1/61200.Finally, GCF of Fractions for 751/272, 6802/900 is 1/61200.